Question

write the coordinates of the vertices after a reflection over the y-axis.

Explanation:

Step1: Identify original vertices

Original vertices: $U(0,0)$, $V(-10,0)$, $S(-10,-10)$, $T(0,-10)$

Step2: Apply y-axis reflection rule

Reflection over y-axis: $(x,y)\to(-x,y)$

• For $U(0,0)$: $(-0,0)=(0,0)$
• For $V(-10,0)$: $(-(-10),0)=(10,0)$
• For $S(-10,-10)$: $(-(-10),-10)=(10,-10)$
• For $T(0,-10)$: $(-0,-10)=(0,-10)$

Answer:

$U'(0,0)$, $V'(10,0)$, $S'(10,-10)$, $T'(0,-10)$